Date: Mon, 24 Dec 12 01:05:46 GMT Subject: math-ph daily 7 new + 6 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Thu 20 Dec 12 21:00:00 GMT to Fri 21 Dec 12 21:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1212.5333 Date: Fri, 21 Dec 2012 04:28:47 GMT (28kb) Title: Hard edge for beta-ensembles and Painlev\'e III Authors: Igor Rumanov Categories: math-ph math.MP math.PR nlin.SI \\ Starting from the diffusion equation at beta random matrix hard edge obtained by Ramirez and Rider (2008), we study the question of its relation with Lax pairs for Painleve III. The results are in many respects similar to the ones found for soft edge by Bloemendal and Virag (2010). In particular, the values beta = 2 and 4 (but not beta = 1) allow for a simple connection with Painlev\'e III solutions and Lax pairs. However, there is an additional surprise for a special relation of parameters where a simple solution of the diffusion equation can be obtained, which is a one-parameter generalization of Gumbel distribution. Our considerations can be extended to the other Painleve equations since the corresponding diffusions are in fact known as nonstationary (imaginary time) Schr\"odinger equations for quantum Painlev\'e Hamiltonians. We also track the hard-to-soft edge limit transition in terms of our Lax pairs. \\ ( http://arxiv.org/abs/1212.5333 , 28kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5465 Date: Fri, 21 Dec 2012 14:37:07 GMT (17kb) Title: Linear and angular momentum spaces for Majorana spinors Authors: L. Pedro Categories: math-ph math.MP quant-ph Comments: 26 pages \\ In a Majorana basis, the Dirac equation for a free spin one-half particle is a 4x4 real matrix differential equation. The solution can be a Majorana spinor, a 4x1 real column matrix, whose entries are real functions of the space-time. Can a Majorana spinor, whose entries are real functions of the space-time, describe the energy, linear and angular momentums of a free spin one-half particle? We show that it can. We show that the Majorana spinor is an irreducible representation of the double cover of the proper orthochronous Lorentz group and of the full Lorentz group. The Fourier-Majorana and Hankel-Majorana transforms are defined and related to the linear and angular momentums of a free spin one-half particle. \\ ( http://arxiv.org/abs/1212.5465 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5534 Date: Fri, 21 Dec 2012 17:31:13 GMT (43kb) Title: Perturbed GUE Minor Process and Warren's Process with Drifts Authors: Patrik L. Ferrari and Ren\'e Frings (Bonn University) Categories: math-ph math.MP math.PR Comments: 26 pages, 2 figures MSC-class: 82C22, 60K35, 15A52 \\ We consider the minor process of (Hermitian) matrix diffusions with constant diagonal drifts. At any given time, this process is determinantal and we provide an explicit expression for its correlation kernel. This is a measure on the Gelfand-Tsetlin pattern that also appears in a generalization of Warren's process, in which Brownian motions have level-dependent drifts. Finally, we show that this process arises in a diffusion scaling limit from an interacting particle system in the anisotropic KPZ class in 2+1 dimensions. \\ ( http://arxiv.org/abs/1212.5534 , 43kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5536 Date: Fri, 21 Dec 2012 17:35:36 GMT (19kb) Title: Sketches from the life of hypercomplex numbers Authors: K. V. Andreev Categories: math-ph math.DG math.MP math.QA math.RA Comments: MiKTeX v2.9, 16 pages \\ In the article, the main ideas of the induction construction arXiv:1204.0194, arXiv:1110.4737, arXiv:1202.0941, arXiv:1208.4466 are considered in the form of sketches. The article establishes a link between Clifford algebras and alternative-elastic algebras at the level of connectors. \\ ( http://arxiv.org/abs/1212.5536 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5562 Date: Fri, 21 Dec 2012 19:09:26 GMT (90kb) Title: The Renormalization Group According to Balaban - II. Large fields Authors: J. Dimock Categories: math-ph math.MP Comments: 93 pages MSC-class: 81T17 (Primary), 81T08, 81T10, 81T16 (Secondary) \\ This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the the ultraviolet problem for the scalar phi^4 model on toroidal lattice in dimension d=3. In this second paper we control the large field contribution to the partition function. \\ ( http://arxiv.org/abs/1212.5562 , 90kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5566 Date: Fri, 21 Dec 2012 19:18:45 GMT (28kb) Title: Viscous regularization of the Euler equations and entropy principles Authors: Jean-Luc Guermond, Bojan Popov Categories: math-ph math.MP MSC-class: 76N15, 35L65, 65M12 \\ This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies a la Harten and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by H. Brenner is made. \\ ( http://arxiv.org/abs/1212.5566 , 28kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5570 Date: Fri, 21 Dec 2012 19:41:38 GMT (10kb) Title: On the generalized semi-relativistic Schr\"odinger-Poisson system in R^n Authors: Walid Abou Salem, Thomas Chen, Vitali Vougalter Categories: math-ph math.MP Comments: AMS Latex, 14 pages MSC-class: 82D10, 82C10 \\ The Cauchy problem for the semi-relativistic Schr\"odinger-Poisson system of equations is studied in ${\mathbb R}^n$, $n\geq 1$, for a wide class of nonlocal interactions. Furthermore, the asymptotic behavior of the solution as the mass tends to infinity is rigorously discussed, which corresponds to a non-relativistic limit. \\ ( http://arxiv.org/abs/1212.5570 , 10kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1212.5281 (*cross-listing*) Date: Thu, 20 Dec 2012 22:05:41 GMT (19kb) Title: Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives Authors: Pierluigi Contucci, Emanuele Mingione, Shannon Starr Categories: cond-mat.dis-nn math-ph math.MP \\ In this paper we show that d-dimensional Gaussian spin glass models are strongly stochastically stable, fulfill the Ghirlanda-Guerra identities in distribution and the ultrametricity property. \\ ( http://arxiv.org/abs/1212.5281 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5297 (*cross-listing*) Date: Thu, 20 Dec 2012 23:20:27 GMT (18kb) Title: Shape from sound: toward new tools for quantum gravity Authors: David Aasen, Tejal Bhamre, Achim Kempf Categories: gr-qc math-ph math.MP Comments: 5 pages, 1 figure \\ To unify general relativity and quantum theory is hard in part because they are formulated in two very different mathematical languages, differential geometry and functional analysis. A natural candidate for bridging this language gap, at least in the case of the euclidean signature, is the discipline of spectral geometry. It aims at describing curved manifolds in terms of the spectra of their canonical differential operators. As an immediate benefit, this would offer a clean gauge-independent identification of the metric's degrees of freedom in terms of invariants that should be ready to quantize. However, spectral geometry is itself hard and has been plagued by ambiguities. Here, we regularize and break up spectral geometry into small finite-dimensional and therefore manageable steps. We constructively demonstrate that this strategy works at least in two dimensions. We can now calculate the shapes of 2-dimensional objects from their vibrational spectra. \\ ( http://arxiv.org/abs/1212.5297 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5380 (*cross-listing*) Date: Fri, 21 Dec 2012 10:13:33 GMT (18kb) Title: On properties of principal elements of Frobenius Lie algebras Authors: Andre Diatta and Bakary Manga Categories: math.DG math-ph math.AC math.MP math.SG Comments: Latex, 16 pages, submitted. Keywords and phrases: Frobenius Lie algebra, affine Lie algebra, Left symmetric Lie algebra, affine motion, symplectic Lie algebra, seaweed Lie algebra, symplectic Lie group, invariant symplectic structure, invariant affine structure MSC-class: 17B05, 17B08, 22E60 \\ We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a subalgebra of some sl(m,K), for K= R or C. Hence, the work of Belavin and Drinfeld on solutions of the Classical Yang-Baxter Equation on simple Lie algebras, applied to the particular case of sl(m, K) alone, paves the way to the complete classification of Frobenius and more generally quasi-Frobenius Lie algebras. We prove that, if a Frobenius Lie algebra has the property that every derivation is an inner derivation, then every principal element is semisimple, at least for K=C. As an important case, we prove that in the Lie algebra of the group of affine motions of the Euclidean space of finite dimension, every derivation is inner. We also bring a class of examples of Frobenius Lie algebras, that hence are subalgebras of sl(m, K), but yet have nonsemisimple principal elements as well as some with semisimple principal elements having nonrational eigenvalues, where K=R or C. \\ ( http://arxiv.org/abs/1212.5380 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5482 (*cross-listing*) Date: Fri, 21 Dec 2012 15:26:04 GMT (32kb,D) Title: Periodic volume fluctuations with infinite horizon: Intermittency enhanced Fermi acceleration Authors: Carl P. Dettmann and Edson D. Leonel Categories: nlin.CD math-ph math.MP Comments: 5 pages, 4 figures \\ A particle diffuses in a lattice with periodically forced volume. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described by a linear Boltzmann equation, leading to an asymptotic universal non-Maxwellian velocity distribution scaling as v ~ t. The infinite horizon has intermittent dynamics which enhances the acceleration, leading to v ~ t ln t and a non-universal distribution. \\ ( http://arxiv.org/abs/1212.5482 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5567 (*cross-listing*) Date: Fri, 21 Dec 2012 19:24:26 GMT (11kb) Title: Zipf's law, power laws, and maximum entropy Authors: Matt Visser (Victoria University of Wellington) Categories: physics.soc-ph cond-mat.stat-mech math-ph math.MP Comments: 14 pages \\ Zipf's law, and power laws in general, have attracted and continue to attract considerable attention in a wide variety of disciplines - from astronomy to demographics to economics to linguistics to zoology, and even warfare. A recent model of random group formation [RGF] attempts a general explanation of such phenomena based on Jaynes' notion of maximum entropy applied to a particular choice of cost function. In the present article I argue that the cost function used in the RGF model is in fact unnecessarily complicated, and that power laws can be obtained in a much simpler way by applying maximum entropy ideas directly to the Shannon entropy subject only to a single constraint: that the average of the logarithm of the observable quantity is specified. \\ ( http://arxiv.org/abs/1212.5567 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5571 (*cross-listing*) Date: Fri, 21 Dec 2012 19:42:47 GMT (26kb) Title: A positive formalism for quantum theory in the general boundary formulation Authors: Robert Oeckl (CCM-UNAM) Categories: quant-ph gr-qc hep-th math-ph math.MP Comments: 28 pages, LaTeX + AMS Report-no: UNAM-CCM-2012-5 \\ We introduce a new "positive formalism" for encoding quantum theories in the general boundary formulation, somewhat analogous to the mixed state formalism of the standard formulation. This makes the probability interpretation more natural and elegant, eliminates operationally irrelevant structure and opens the general boundary formulation to quantum information theory. \\ ( http://arxiv.org/abs/1212.5571 , 26kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1108.1335 replaced with revised version Fri, 21 Dec 2012 18:44:08 GMT (50kb) Title: The Renormalization Group According to Balaban - I. Small fields Authors: J. Dimock Categories: math-ph math.MP Comments: 52 pages. Some corrections, additions, reorganization MSC-class: 81T17 (Primary), 81T08, 81T10, 81T16 (Secondary) \\ ( http://arxiv.org/abs/1108.1335 , 50kb) ------------------------------------------------------------------------------ \\ arXiv:1112.5529 (*cross-listing*) replaced with revised version Fri, 21 Dec 2012 13:25:48 GMT (37kb,D) Title: On the Geometry of Maximum Entropy Problems Authors: Michele Pavon and Augusto Ferrante Categories: math.OC math-ph math.MP Comments: 22 pages \\ ( http://arxiv.org/abs/1112.5529 , 37kb) ------------------------------------------------------------------------------ \\ arXiv:1207.0225 (*cross-listing*) replaced with revised version Thu, 20 Dec 2012 21:23:33 GMT (2729kb,AD) Title: Spectral rate theory for two-state kinetics Authors: Jan-Hendrik Prinz, John D. Chodera, and Frank Noe Categories: physics.data-an cond-mat.soft cond-mat.stat-mech math-ph math.MP physics.bio-ph physics.chem-ph physics.comp-ph \\ ( http://arxiv.org/abs/1207.0225 , 2729kb) ------------------------------------------------------------------------------ \\ arXiv:1207.3849 (*cross-listing*) replaced with revised version Fri, 21 Dec 2012 12:25:28 GMT (47kb) Title: When is a pure state of three qubits determined by its single-particle reduced density matrices? Authors: Adam Sawicki, Michael Walter, and Marek Ku\'s Categories: quant-ph math-ph math.MP Comments: 19 pages \\ ( http://arxiv.org/abs/1207.3849 , 47kb) ------------------------------------------------------------------------------ \\ arXiv:1208.1871 replaced with revised version Fri, 21 Dec 2012 11:25:56 GMT (589kb,D) Title: Localisation for a line defect in an infinite square lattice Authors: D. J. Colquitt, M. J. Nieves, I. S. Jones, A. B. Movchan and N. V. Movchan Categories: math-ph math.MP Comments: Author generated postprint of the final published version which appears in Proceedings of the Royal Society of London Series A (http://http://rspa.royalsocietypublishing.org/). Updated references and minor corrections Journal-ref: Proc R Soc A 469 (2013): 20120579 DOI: 10.1098/rspa.2012.0579 \\ ( http://arxiv.org/abs/1208.1871 , 589kb) ------------------------------------------------------------------------------ \\ arXiv:1209.1737 (*cross-listing*) replaced with revised version Fri, 21 Dec 2012 19:06:34 GMT (75kb,D) Title: Quantum speed limits in open system dynamics Authors: A. del Campo, I. L. Egusquiza, M. B. Plenio, S. F. Huelga Categories: quant-ph math-ph math.MP Comments: 7pp, 1 figure, appendix added Report-no: LA-UR-12-24617 \\ ( http://arxiv.org/abs/1209.1737 , 75kb) ------------------------------------------------------------------------------ \\ arXiv:1210.0936 (*cross-listing*) replaced with revised version Thu, 20 Dec 2012 23:17:55 GMT (84kb,D) Title: Radiative correction in approximate treatments of electromagnetic scattering by point and body scatterers Authors: Eric C. Le Ru, Walter R. C. Somerville, Baptiste Augui\'e Categories: physics.optics math-ph math.MP \\ ( http://arxiv.org/abs/1210.0936 , 84kb) ------------------------------------------------------------------------------ \\ arXiv:1212.1907 (*cross-listing*) replaced with revised version Thu, 20 Dec 2012 23:07:05 GMT (159kb,D) Title: Quasinormal modes for AdS--Schwarzschild black holes: exponential convergence to the real axis Authors: Oran Gannot Categories: math.SP gr-qc math-ph math.MP \\ ( http://arxiv.org/abs/1212.1907 , 159kb) ------------------------------------------------------------------------------ \\ arXiv:1212.2945 replaced with revised version Fri, 21 Dec 2012 04:29:34 GMT (89kb,D) Title: Classical Klein-Gordon solutions, symplectic structures and isometry actions on AdS spacetimes Authors: Max Dohse Categories: math-ph hep-th math.MP Comments: 28 pages, RevTex 4.1 Report-no: UNAM-CCM-2012-4 \\ ( http://arxiv.org/abs/1212.2945 , 89kb) ------------------------------------------------------------------------------ \\ arXiv:1212.5005 (*cross-listing*) replaced with revised version Fri, 21 Dec 2012 12:12:41 GMT (438kb) Title: Computations in Quantum Tensor Networks Authors: T. Huckle, K. Waldherr, and T. Schulte-Herbrueggen Categories: quant-ph math-ph math.MP Comments: Presented in part at the 26th GAMM Seminar on Tensor Approximations at the Max-Planck-Institute for Mathematics in the Sciences in Leipzig, February 2010 Journal-ref: Lin. Alg. Appl. 438 (2013), 750--781 DOI: 10.1016/j.laa.2011.12.019 \\ ( http://arxiv.org/abs/1212.5005 , 438kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arXiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arXiv.org/help/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. Author self-submissions are exceedingly preferred. 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